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2132302401 = 3617229349
BaseRepresentation
bin111111100011000…
…0101101001000001
312111121022012000000
41333012011221001
513331332134101
6551330350213
7103561162035
oct17706055101
95447265000
102132302401
119a46a1399
124b612b369
1327c9baac8
141632981c5
15c72e8486
hex7f185a41

2132302401 has 84 divisors (see below), whose sum is σ = 3523285500. Its totient is φ = 1288078848.

The previous prime is 2132302369. The next prime is 2132302411. The reversal of 2132302401 is 1042032312.

It can be written as a sum of positive squares in 6 ways, for example, as 369562176 + 1762740225 = 19224^2 + 41985^2 .

It is not a de Polignac number, because 2132302401 - 25 = 2132302369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2132302411) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6109575 + ... + 6109923.

It is an arithmetic number, because the mean of its divisors is an integer number (41943875).

Almost surely, 22132302401 is an apocalyptic number.

It is an amenable number.

2132302401 is a deficient number, since it is larger than the sum of its proper divisors (1390983099).

2132302401 is an equidigital number, since it uses as much as digits as its factorization.

2132302401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132302401 is about 46176.8600166793. The cubic root of 2132302401 is about 1287.1117805988. Note that the first 3 decimals are identical.

Adding to 2132302401 its reverse (1042032312), we get a palindrome (3174334713).

The spelling of 2132302401 in words is "two billion, one hundred thirty-two million, three hundred two thousand, four hundred one".

Divisors: 1 3 9 17 27 29 51 81 87 153 243 261 289 349 459 493 729 783 867 1047 1377 1479 2349 2601 3141 4131 4437 5933 7047 7803 8381 9423 10121 12393 13311 17799 21141 23409 25143 28269 30363 39933 53397 70227 75429 84807 91089 100861 119799 160191 172057 210681 226287 254421 273267 302583 359397 480573 516171 678861 819801 907749 1441719 1548513 2036583 2459403 2723247 2924969 4325157 4645539 6109749 7378209 8169741 8774907 13936617 24509223 26324721 41809851 73527669 78974163 125429553 236922489 710767467 2132302401